Search a number
-
+
132221021342232 = 2331091217231117971
BaseRepresentation
bin11110000100000100011011…
…000000100100101000011000
3122100011012120022111122122010
4132010010123000210220120
5114312302122430422412
61145113255413225520
736564440111500554
oct3604043300445030
9570135508448563
10132221021342232
1139147690609819
12129b53a06322a0
1358a15092b3864
14249176291a864
15104458b26133c
hex78411b024a18

132221021342232 has 128 divisors (see below), whose sum is σ = 334022301043200. Its totient is φ = 43612137676800.

The previous prime is 132221021342197. The next prime is 132221021342233. The reversal of 132221021342232 is 232243120122231.

It is a self number, because there is not a number n which added to its sum of digits gives 132221021342232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132221021342233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7357457007 + ... + 7357474977.

It is an arithmetic number, because the mean of its divisors is an integer number (2609549226900).

Almost surely, 2132221021342232 is an apocalyptic number.

132221021342232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132221021342232 is an abundant number, since it is smaller than the sum of its proper divisors (201801279700968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132221021342232 is a wasteful number, since it uses less digits than its factorization.

132221021342232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21617 (or 21613 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 132221021342232 its reverse (232243120122231), we get a palindrome (364464141464463).

The spelling of 132221021342232 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, twenty-one million, three hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 109 218 327 436 654 872 1217 1308 2311 2434 2616 3651 4622 4868 6933 7302 9244 9736 13866 14604 17971 18488 27732 29208 35942 53913 55464 71884 107826 132653 143768 215652 251899 265306 397959 431304 503798 530612 755697 795918 1007596 1061224 1511394 1591836 1958839 2015192 2812487 3022788 3183672 3917678 5624974 5876517 6045576 7835356 8437461 11249948 11753034 15670712 16874922 21870707 22499896 23506068 33749844 41530981 43741414 47012136 65612121 67499688 83061962 87482828 124592943 131224242 166123924 174965656 249185886 262448484 306561083 332247848 498371772 524896968 613122166 919683249 996743544 1226244332 1839366498 2383907063 2452488664 3678732996 4526876929 4767814126 7151721189 7357465992 9053753858 9535628252 13580630787 14303442378 18107507716 19071256504 27161261574 28606884756 36215015432 50543203877 54322523148 57213769512 101086407754 108645046296 151629611631 202172815508 303259223262 404345631016 606518446524 1213036893048 5509209222593 11018418445186 16527627667779 22036836890372 33055255335558 44073673780744 66110510671116 132221021342232